Compare 35/75 and 10/21
35/75 is smaller than 10/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
35/75 = 35 × 7/75 × 7 = 245/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
10/21 = 10 × 25/21 × 25 = 250/525 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/525 < 250/525 or 35/75 < 10/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75 and 10/21 35/75 and 20/21 35/75 and 10/42 35/75 and 30/21 35/75 and 10/63 35/75 and 50/21 35/75 and 70/21